QUESTION IMAGE
Question
the number of bears killed in 2010 for 52 counties in pennsylvania is shown in the frequency distribution.
class limits frequency
1 – 25 18
26 – 50 12
51 – 75 7
76 – 100 6
101 – 125 2
126 – 150 3
151 – 175 0
176 – 200 2
201 – 225 0
226 – 250 2
total 52
send data to excel
part: 0 / 2
part 1 of 2
use the histogram tool to draw a histogram for the data.
bear kills
To create a histogram for the given frequency distribution of bear kills in Pennsylvania counties, follow these steps:
Step 1: Identify the Class Intervals and Frequencies
The class limits (intervals) and their corresponding frequencies are:
- \( 1 - 25 \): Frequency = 18
- \( 26 - 50 \): Frequency = 12
- \( 51 - 75 \): Frequency = 7
- \( 76 - 100 \): Frequency = 6
- \( 101 - 125 \): Frequency = 2
- \( 126 - 150 \): Frequency = 3
- \( 151 - 175 \): Frequency = 0
- \( 176 - 200 \): Frequency = 2
- \( 201 - 225 \): Frequency = 0
- \( 226 - 250 \): Frequency = 2
Step 2: Determine the Class Width
First, calculate the class width (the range of each class interval). For the first interval \( 1 - 25 \), the width is \( 25 - 1 + 1 = 25 \) (we add 1 because the limits are inclusive). Checking other intervals:
- \( 26 - 50 \): \( 50 - 26 + 1 = 25 \)
- \( 51 - 75 \): \( 75 - 51 + 1 = 25 \)
- All intervals have a width of 25.
Step 3: Set Up the Histogram Axes
- X - axis (Horizontal): Represent the class intervals (bear kill ranges). Label the axis "Number of Bears Killed".
- Y - axis (Vertical): Represent the frequency (number of counties). Label the axis "Frequency (Number of Counties)".
Step 4: Draw the Bars for Each Class Interval
For each class interval, draw a bar where:
- The width of each bar is equal to the class width (25) to ensure consistency.
- The height of each bar is equal to the frequency of that interval.
Example Bars:
- For \( 1 - 25 \): Draw a bar with height 18.
- For \( 26 - 50 \): Draw a bar with height 12.
- For \( 51 - 75 \): Draw a bar with height 7.
- For \( 76 - 100 \): Draw a bar with height 6.
- For \( 101 - 125 \): Draw a bar with height 2.
- For \( 126 - 150 \): Draw a bar with height 3.
- For \( 151 - 175 \): Draw a bar with height 0 (this will be a flat line or no bar, indicating no counties in this range).
- For \( 176 - 200 \): Draw a bar with height 2.
- For \( 201 - 225 \): Draw a bar with height 0 (no counties).
- For \( 226 - 250 \): Draw a bar with height 2.
Step 5: Ensure No Gaps Between Bars (Except for Zeros)
Since the class intervals are continuous (there are no gaps between \( 25 \) and \( 26 \), \( 50 \) and \( 51 \), etc.), the bars should be adjacent to each other. The intervals with frequency 0 (\( 151 - 175 \) and \( 201 - 225 \)) will have no bar, creating a gap, which is appropriate as there were no counties with bear kills in those ranges.
Final Histogram Description
The histogram will have:
- A horizontal axis labeled "Number of Bears Killed" with intervals \( 1 - 25 \), \( 26 - 50 \), \( 51 - 75 \), \( 76 - 100 \), \( 101 - 125 \), \( 126 - 150 \), \( 151 - 175 \), \( 176 - 200 \), \( 201 - 225 \), \( 226 - 250 \).
- A vertical axis labeled "Frequency (Number of Counties)" with a scale that can accommodate the maximum frequency (18).
- Bars of height 18, 12, 7, 6, 2, 3, 0, 2, 0, and 2 for the respective intervals.
If using a tool (like Excel), input the class intervals in one column and the frequencies in another, then use the histogram chart option to generate the graph with the appropriate axis labels and bar widths.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
To create a histogram for the given frequency distribution of bear kills in Pennsylvania counties, follow these steps:
Step 1: Identify the Class Intervals and Frequencies
The class limits (intervals) and their corresponding frequencies are:
- \( 1 - 25 \): Frequency = 18
- \( 26 - 50 \): Frequency = 12
- \( 51 - 75 \): Frequency = 7
- \( 76 - 100 \): Frequency = 6
- \( 101 - 125 \): Frequency = 2
- \( 126 - 150 \): Frequency = 3
- \( 151 - 175 \): Frequency = 0
- \( 176 - 200 \): Frequency = 2
- \( 201 - 225 \): Frequency = 0
- \( 226 - 250 \): Frequency = 2
Step 2: Determine the Class Width
First, calculate the class width (the range of each class interval). For the first interval \( 1 - 25 \), the width is \( 25 - 1 + 1 = 25 \) (we add 1 because the limits are inclusive). Checking other intervals:
- \( 26 - 50 \): \( 50 - 26 + 1 = 25 \)
- \( 51 - 75 \): \( 75 - 51 + 1 = 25 \)
- All intervals have a width of 25.
Step 3: Set Up the Histogram Axes
- X - axis (Horizontal): Represent the class intervals (bear kill ranges). Label the axis "Number of Bears Killed".
- Y - axis (Vertical): Represent the frequency (number of counties). Label the axis "Frequency (Number of Counties)".
Step 4: Draw the Bars for Each Class Interval
For each class interval, draw a bar where:
- The width of each bar is equal to the class width (25) to ensure consistency.
- The height of each bar is equal to the frequency of that interval.
Example Bars:
- For \( 1 - 25 \): Draw a bar with height 18.
- For \( 26 - 50 \): Draw a bar with height 12.
- For \( 51 - 75 \): Draw a bar with height 7.
- For \( 76 - 100 \): Draw a bar with height 6.
- For \( 101 - 125 \): Draw a bar with height 2.
- For \( 126 - 150 \): Draw a bar with height 3.
- For \( 151 - 175 \): Draw a bar with height 0 (this will be a flat line or no bar, indicating no counties in this range).
- For \( 176 - 200 \): Draw a bar with height 2.
- For \( 201 - 225 \): Draw a bar with height 0 (no counties).
- For \( 226 - 250 \): Draw a bar with height 2.
Step 5: Ensure No Gaps Between Bars (Except for Zeros)
Since the class intervals are continuous (there are no gaps between \( 25 \) and \( 26 \), \( 50 \) and \( 51 \), etc.), the bars should be adjacent to each other. The intervals with frequency 0 (\( 151 - 175 \) and \( 201 - 225 \)) will have no bar, creating a gap, which is appropriate as there were no counties with bear kills in those ranges.
Final Histogram Description
The histogram will have:
- A horizontal axis labeled "Number of Bears Killed" with intervals \( 1 - 25 \), \( 26 - 50 \), \( 51 - 75 \), \( 76 - 100 \), \( 101 - 125 \), \( 126 - 150 \), \( 151 - 175 \), \( 176 - 200 \), \( 201 - 225 \), \( 226 - 250 \).
- A vertical axis labeled "Frequency (Number of Counties)" with a scale that can accommodate the maximum frequency (18).
- Bars of height 18, 12, 7, 6, 2, 3, 0, 2, 0, and 2 for the respective intervals.
If using a tool (like Excel), input the class intervals in one column and the frequencies in another, then use the histogram chart option to generate the graph with the appropriate axis labels and bar widths.